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Finding the Fourth Proportional to 64,394.70, 96,598.20 and 20,009.54

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Solution

The fourth proportional to 64,394.70, 96,598.20 and 20,009.54 is: 30,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,394.70 : 96,598.20 = 20,009.54 : x
  2. Step 2: Convert to fraction form
    64,394.70/96,598.20 = 20,009.54/x
  3. Step 3: Cross multiply
    64,394.70x = 96,598.20 × 20,009.54
  4. Step 4: Simplify right side
    64,394.70x = 1,932,885,546.83
  5. Step 5: Solve for x
    x = 1,932,885,546.83/64,394.70
  6. Step 6: Final answer
    x = 30,016.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.